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Solve for zz.\newline-|z| > -3\newlineWrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form.\newline______

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Q. Solve for zz.\newline−∣z∣>−3-|z| > -3\newlineWrite a compound inequality like 1<x<31 < x < 3 or like x<1x < 1 or x>3x > 3. Use integers, proper fractions, or improper fractions in simplest form.\newline______
  1. Isolate absolute value term: We have the inequality:\newline-|z| > -3\newlineFirst, we need to isolate the absolute value term. To do this, we can multiply both sides of the inequality by −1-1, remembering that this reverses the inequality sign.\newline-1 \cdot (-|z|) < -1 \cdot (-3)
  2. Multiply by −1-1: After multiplying by −1-1, we get:\newline|z| < 3\newlineThis means that zz must be less than 33 and greater than −3-3, because the absolute value of zz is less than 33.
  3. Write compound inequality: Now we can write the compound inequality that represents the solution to the inequality |z| < 3:\newline-3 < z < 3\newlineThis is the compound inequality that describes all the values of zz that satisfy the original inequality.

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